%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO007-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:36:06 AM UTC 2026
% Result : Unsatisfiable 35.10s 5.28s
% Output : Refutation 35.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of formulae : 134 ( 82 unt; 0 def)
% Number of atoms : 222 ( 39 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 177 ( 89 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 218 ( 218 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X2,X4,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity2) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ product(X5,X1,X6)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity3) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X5,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ product(X2,X4,X6)
| sum(X5,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',distributivity8) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO002-0.ax',multiplication_is_well_defined) ).
fof(f23,axiom,
product(y,z,y_times_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',y_times_z) ).
fof(f24,axiom,
product(x,y_times_z,x_times__y_times_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times__y_times_z) ).
fof(f25,axiom,
product(x,y,x_times_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_y) ).
fof(f26,axiom,
product(x_times_y,z,x_times_y__times_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_times_y__times_z) ).
fof(f27,negated_conjecture,
x_times__y_times_z != x_times_y__times_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality) ).
fof(f32,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f36,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f39,plain,
product(z,y,y_times_z),
inference(resolution,[],[f4,f23]) ).
fof(f41,plain,
product(y,x,x_times_y),
inference(resolution,[],[f4,f25]) ).
fof(f42,plain,
product(z,x_times_y,x_times_y__times_z),
inference(resolution,[],[f4,f26]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f46,plain,
! [X0,X1] :
( ~ sum(inverse(X0),X0,X1)
| multiplicative_identity = X1 ),
inference(resolution,[],[f21,f17]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X2 ),
inference(resolution,[],[f21,f1]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[],[f21,f32]) ).
fof(f51,plain,
! [X0,X1] :
( ~ product(X0,multiplicative_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f8]) ).
fof(f52,plain,
! [X0,X1] :
( ~ product(X0,inverse(X0),X1)
| additive_identity = X1 ),
inference(resolution,[],[f22,f20]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[],[f22,f2]) ).
fof(f54,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f56,plain,
! [X0] :
( ~ product(y,z,X0)
| y_times_z = X0 ),
inference(resolution,[],[f22,f23]) ).
fof(f59,plain,
! [X0] :
( ~ product(x,y_times_z,X0)
| x_times__y_times_z = X0 ),
inference(resolution,[],[f22,f24]) ).
fof(f60,plain,
! [X0] :
( ~ product(x,y,X0)
| x_times_y = X0 ),
inference(resolution,[],[f22,f25]) ).
fof(f64,plain,
! [X0] :
( ~ product(z,x_times_y,X0)
| x_times_y__times_z = X0 ),
inference(resolution,[],[f42,f22]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ product(X0,X3,X5)
| sum(X5,X2,multiply(X0,X4)) ),
inference(resolution,[],[f9,f2]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,additive_identity)
| ~ sum(X3,X1,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X2) ),
inference(resolution,[],[f10,f5]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X1,X0) = X2 ),
inference(resolution,[],[f36,f22]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(add(X3,X0),X1,X5)
| ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X4,X2,X5) ),
inference(resolution,[],[f11,f1]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| product(X5,X2,add(X0,X4)) ),
inference(resolution,[],[f13,f1]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X5)
| ~ product(X3,X1,X4)
| ~ sum(X0,X1,X2)
| product(X5,X2,add(X4,X0)) ),
inference(resolution,[],[f13,f32]) ).
fof(f120,plain,
y_times_z = multiply(z,y),
inference(resolution,[],[f56,f36]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(add(X3,X1),X2,X5)
| ~ product(X3,X0,X4)
| ~ sum(X0,X1,X2)
| sum(X4,X1,X5) ),
inference(resolution,[],[f16,f1]) ).
fof(f128,plain,
x_times__y_times_z = multiply(x,y_times_z),
inference(resolution,[],[f59,f2]) ).
fof(f131,plain,
x_times_y = multiply(x,y),
inference(resolution,[],[f60,f2]) ).
fof(f140,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(resolution,[],[f44,f32]) ).
fof(f155,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(resolution,[],[f51,f2]) ).
fof(f171,plain,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
inference(resolution,[],[f46,f32]) ).
fof(f199,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[],[f48,f32]) ).
fof(f203,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(resolution,[],[f53,f36]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ sum(inverse(X0),X1,X2)
| ~ product(X0,X1,X3)
| product(X0,X2,X3) ),
inference(resolution,[],[f79,f20]) ).
fof(f382,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| sum(X4,X2,multiply(X0,add(X3,X1))) ),
inference(resolution,[],[f68,f1]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| sum(X2,X4,multiply(add(X0,X3),X1)) ),
inference(resolution,[],[f92,f2]) ).
fof(f422,plain,
! [X2,X3,X0,X1] :
( ~ product(additive_identity,X0,X1)
| ~ sum(X2,X0,X3)
| product(X2,X3,add(X2,X1)) ),
inference(resolution,[],[f104,f6]) ).
fof(f424,plain,
! [X2,X3,X0,X1] :
( ~ product(inverse(X0),X1,X2)
| ~ sum(X0,X1,X3)
| product(multiplicative_identity,X3,add(X0,X2)) ),
inference(resolution,[],[f104,f18]) ).
fof(f466,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X1,X3,X4)
| ~ product(X0,X1,X2)
| sum(X2,X3,multiply(add(X0,X3),X4)) ),
inference(resolution,[],[f125,f2]) ).
fof(f882,plain,
! [X0,X1] :
( ~ product(X0,additive_identity,X1)
| product(X0,inverse(X0),X1) ),
inference(resolution,[],[f239,f6]) ).
fof(f1507,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X0,X2,add(X0,multiply(additive_identity,X1))) ),
inference(resolution,[],[f422,f2]) ).
fof(f1616,plain,
! [X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| product(multiplicative_identity,X1,add(X0,inverse(X0))) ),
inference(resolution,[],[f424,f8]) ).
fof(f1624,plain,
! [X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| product(multiplicative_identity,X1,multiplicative_identity) ),
inference(forward_demodulation,[],[f1616,f171]) ).
fof(f1700,plain,
! [X0,X1] :
( ~ product(y,X0,X1)
| sum(y_times_z,X1,multiply(y,add(z,X0))) ),
inference(resolution,[],[f382,f23]) ).
fof(f1701,plain,
! [X0,X1] :
( ~ product(y,X0,X1)
| sum(x_times_y,X1,multiply(y,add(x,X0))) ),
inference(resolution,[],[f382,f41]) ).
fof(f1702,plain,
! [X0,X1] :
( ~ product(z,X0,X1)
| sum(y_times_z,X1,multiply(z,add(y,X0))) ),
inference(resolution,[],[f382,f39]) ).
fof(f1705,plain,
! [X0,X1] :
( ~ product(x,X0,X1)
| sum(x_times__y_times_z,X1,multiply(x,add(y_times_z,X0))) ),
inference(resolution,[],[f382,f24]) ).
fof(f1778,plain,
! [X0,X1] :
( ~ product(X0,z,X1)
| sum(X1,y_times_z,multiply(add(X0,y),z)) ),
inference(resolution,[],[f404,f23]) ).
fof(f1779,plain,
! [X0,X1] :
( ~ product(X0,x,X1)
| sum(X1,x_times_y,multiply(add(X0,y),x)) ),
inference(resolution,[],[f404,f41]) ).
fof(f1792,plain,
! [X0,X1] :
( ~ product(X0,x,X1)
| sum(X1,x_times_y,multiply(x,add(X0,y))) ),
inference(forward_demodulation,[],[f1779,f203]) ).
fof(f1793,plain,
! [X0,X1] :
( ~ product(X0,z,X1)
| sum(X1,y_times_z,multiply(z,add(X0,y))) ),
inference(forward_demodulation,[],[f1778,f203]) ).
fof(f1988,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X2,X3,multiply(add(X0,X3),add(X3,X1))) ),
inference(resolution,[],[f466,f32]) ).
fof(f2051,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| product(add(X3,X0),X4,add(X2,X3)) ),
inference(resolution,[],[f105,f1]) ).
fof(f3122,plain,
! [X0] : product(multiplicative_identity,add(X0,multiplicative_identity),multiplicative_identity),
inference(resolution,[],[f1624,f1]) ).
fof(f3125,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(resolution,[],[f3122,f54]) ).
fof(f3174,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(superposition,[],[f3125,f199]) ).
fof(f3370,plain,
! [X0] : product(X0,inverse(X0),multiply(X0,additive_identity)),
inference(resolution,[],[f882,f2]) ).
fof(f3687,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f3370,f52]) ).
fof(f3872,plain,
! [X0] : additive_identity = multiply(additive_identity,X0),
inference(superposition,[],[f3687,f203]) ).
fof(f9155,plain,
sum(y_times_z,y,multiply(y,add(z,multiplicative_identity))),
inference(resolution,[],[f1700,f8]) ).
fof(f9163,plain,
sum(y_times_z,y,multiply(y,add(multiplicative_identity,z))),
inference(forward_demodulation,[],[f9155,f199]) ).
fof(f9172,plain,
sum(y_times_z,y,multiply(y,multiplicative_identity)),
inference(forward_demodulation,[],[f9163,f3174]) ).
fof(f9178,plain,
sum(y_times_z,y,y),
inference(forward_demodulation,[],[f9172,f155]) ).
fof(f9193,plain,
sum(x_times_y,y,multiply(y,add(x,multiplicative_identity))),
inference(resolution,[],[f1701,f8]) ).
fof(f9201,plain,
sum(x_times_y,y,multiply(y,add(multiplicative_identity,x))),
inference(forward_demodulation,[],[f9193,f199]) ).
fof(f9211,plain,
sum(x_times_y,y,multiply(y,multiplicative_identity)),
inference(forward_demodulation,[],[f9201,f3174]) ).
fof(f9217,plain,
sum(x_times_y,y,y),
inference(forward_demodulation,[],[f9211,f155]) ).
fof(f9236,plain,
y = add(y,y_times_z),
inference(resolution,[],[f9178,f49]) ).
fof(f9289,plain,
sum(y_times_z,x_times_y__times_z,multiply(z,add(y,x_times_y))),
inference(resolution,[],[f1702,f42]) ).
fof(f9401,plain,
sum(x_times__y_times_z,x_times_y,multiply(x,add(y_times_z,y))),
inference(resolution,[],[f1705,f25]) ).
fof(f9420,plain,
sum(x_times__y_times_z,x_times_y,multiply(x,add(y,y_times_z))),
inference(forward_demodulation,[],[f9401,f199]) ).
fof(f9449,plain,
y = add(y,x_times_y),
inference(resolution,[],[f9217,f49]) ).
fof(f11350,plain,
sum(x,x_times_y,multiply(x,add(multiplicative_identity,y))),
inference(resolution,[],[f1792,f7]) ).
fof(f11359,plain,
sum(x,x_times_y,multiply(x,multiplicative_identity)),
inference(forward_demodulation,[],[f11350,f3174]) ).
fof(f11366,plain,
sum(x,x_times_y,x),
inference(forward_demodulation,[],[f11359,f155]) ).
fof(f11383,plain,
sum(z,y_times_z,multiply(z,add(multiplicative_identity,y))),
inference(resolution,[],[f1793,f7]) ).
fof(f11392,plain,
sum(z,y_times_z,multiply(z,multiplicative_identity)),
inference(forward_demodulation,[],[f11383,f3174]) ).
fof(f11399,plain,
sum(z,y_times_z,z),
inference(forward_demodulation,[],[f11392,f155]) ).
fof(f13476,plain,
! [X2,X0,X1] :
( product(X0,X2,add(X0,additive_identity))
| ~ sum(X0,X1,X2) ),
inference(forward_demodulation,[],[f1507,f3872]) ).
fof(f13477,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X0,X2,X0) ),
inference(forward_demodulation,[],[f13476,f140]) ).
fof(f13499,plain,
! [X0,X1] : product(X0,add(X0,X1),X0),
inference(resolution,[],[f13477,f1]) ).
fof(f13500,plain,
! [X0,X1] : product(X0,add(X1,X0),X0),
inference(resolution,[],[f13477,f32]) ).
fof(f22532,plain,
! [X0] : sum(x_times__y_times_z,X0,multiply(add(x,X0),add(X0,y_times_z))),
inference(resolution,[],[f1988,f24]) ).
fof(f23736,plain,
! [X0,X1] :
( ~ sum(X0,x_times_y,X1)
| product(add(X0,z),X1,add(x_times_y__times_z,X0)) ),
inference(resolution,[],[f2051,f42]) ).
fof(f23743,plain,
! [X0,X1] :
( ~ sum(X0,y_times_z,X1)
| product(add(X0,x),X1,add(x_times__y_times_z,X0)) ),
inference(resolution,[],[f2051,f24]) ).
fof(f24762,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(resolution,[],[f13499,f53]) ).
fof(f25170,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(resolution,[],[f13500,f53]) ).
fof(f30178,plain,
sum(y_times_z,x_times_y__times_z,multiply(z,y)),
inference(forward_demodulation,[],[f9289,f9449]) ).
fof(f30179,plain,
sum(y_times_z,x_times_y__times_z,y_times_z),
inference(forward_demodulation,[],[f30178,f120]) ).
fof(f30191,plain,
y_times_z = add(x_times_y__times_z,y_times_z),
inference(resolution,[],[f30179,f49]) ).
fof(f30340,plain,
sum(x_times__y_times_z,x_times_y,multiply(x,y)),
inference(forward_demodulation,[],[f9420,f9236]) ).
fof(f30341,plain,
sum(x_times__y_times_z,x_times_y,x_times_y),
inference(forward_demodulation,[],[f30340,f131]) ).
fof(f142154,plain,
product(add(x,z),x,add(x_times_y__times_z,x)),
inference(resolution,[],[f23736,f11366]) ).
fof(f142156,plain,
product(add(x_times__y_times_z,z),x_times_y,add(x_times_y__times_z,x_times__y_times_z)),
inference(resolution,[],[f23736,f30341]) ).
fof(f142159,plain,
product(add(x_times__y_times_z,z),x_times_y,add(x_times__y_times_z,x_times_y__times_z)),
inference(forward_demodulation,[],[f142156,f199]) ).
fof(f142161,plain,
product(add(x,z),x,add(x,x_times_y__times_z)),
inference(forward_demodulation,[],[f142154,f199]) ).
fof(f142216,plain,
product(add(z,x_times__y_times_z),x_times_y,add(x_times__y_times_z,x_times_y__times_z)),
inference(forward_demodulation,[],[f142159,f199]) ).
fof(f142217,plain,
product(add(z,x),x,add(x,x_times_y__times_z)),
inference(forward_demodulation,[],[f142161,f199]) ).
fof(f143167,plain,
product(add(z,x),z,add(x_times__y_times_z,z)),
inference(resolution,[],[f23743,f11399]) ).
fof(f143178,plain,
product(add(z,x),z,add(z,x_times__y_times_z)),
inference(forward_demodulation,[],[f143167,f199]) ).
fof(f271792,plain,
add(x,x_times_y__times_z) = multiply(x,add(z,x)),
inference(resolution,[],[f142217,f86]) ).
fof(f271951,plain,
x = add(x,x_times_y__times_z),
inference(forward_demodulation,[],[f271792,f25170]) ).
fof(f272976,plain,
sum(x_times__y_times_z,x_times_y__times_z,multiply(x,add(x_times_y__times_z,y_times_z))),
inference(superposition,[],[f22532,f271951]) ).
fof(f273306,plain,
sum(x_times__y_times_z,x_times_y__times_z,multiply(x,y_times_z)),
inference(forward_demodulation,[],[f272976,f30191]) ).
fof(f273356,plain,
sum(x_times__y_times_z,x_times_y__times_z,x_times__y_times_z),
inference(forward_demodulation,[],[f273306,f128]) ).
fof(f274182,plain,
x_times__y_times_z = add(x_times__y_times_z,x_times_y__times_z),
inference(resolution,[],[f273356,f48]) ).
fof(f274387,plain,
add(z,x_times__y_times_z) = multiply(z,add(z,x)),
inference(resolution,[],[f143178,f86]) ).
fof(f274545,plain,
z = add(z,x_times__y_times_z),
inference(forward_demodulation,[],[f274387,f24762]) ).
fof(f279544,plain,
product(add(z,x_times__y_times_z),x_times_y,x_times__y_times_z),
inference(superposition,[],[f142216,f274182]) ).
fof(f279866,plain,
product(z,x_times_y,x_times__y_times_z),
inference(forward_demodulation,[],[f279544,f274545]) ).
fof(f279898,plain,
x_times__y_times_z = x_times_y__times_z,
inference(resolution,[],[f279866,f64]) ).
fof(f280088,plain,
$false,
inference(forward_subsumption_resolution,[],[f279898,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO007-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:02:51 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.94/2.59 % (1575642)Will run a generic schedule for satisfiability detection.
% 15.94/2.59 % (1575661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1326053343:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.94/2.59 % (1575657)% WARNING: option uhcvi not known.
% 15.94/2.59 % (1575657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=763288699:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.94/2.59 % (1575656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4257063184_2999 on theBenchmark for (2999ds/0Mi)
% 15.94/2.59 % (1575662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4207698157:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.94/2.59 % (1575658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1739826718:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.94/2.59 % (1575659)dis+10_1_sil=32000:sp=arity:random_seed=3738513177:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.94/2.59 % (1575660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3825049010:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.94/2.59 % TRYING [1]
% 15.94/2.59 % TRYING [2]
% 15.94/2.59 % TRYING [3]
% 15.94/2.59 % TRYING [4]
% 15.94/2.59 % (1575661)Instruction limit reached!
% 15.94/2.59 % (1575661)------------------------------
% 15.94/2.59 % (1575661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.59 % (1575661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.59 % (1575661)CaDiCaL version: 2.1.3
% 15.94/2.59 % (1575661)Termination reason: Instruction limit
% 15.94/2.59 % (1575661)Termination phase: Saturation
% 15.94/2.59 % (1575661)Time elapsed: 0.045 s
% 15.94/2.59 % (1575661)Peak memory usage: 11 MB
% 15.94/2.59 % (1575661)Instructions burned: 132 (million)
% 15.94/2.59 % TRYING [5]
% 15.94/2.59 % (1575689)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1918791291:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.94/2.59 % TRYING [1]
% 15.94/2.59 % TRYING [2]
% 15.94/2.59 % TRYING [3]
% 15.94/2.59 % TRYING [4]
% 15.94/2.59 % (1575660)Instruction limit reached!
% 15.94/2.59 % (1575660)------------------------------
% 15.94/2.59 % (1575660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.59 % (1575660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.59 % (1575660)CaDiCaL version: 2.1.3
% 15.94/2.59 % (1575660)Termination reason: Instruction limit
% 15.94/2.59 % (1575660)Termination phase: Saturation
% 15.94/2.59 % (1575660)Time elapsed: 0.062 s
% 15.94/2.59 % (1575660)Peak memory usage: 11 MB
% 15.94/2.59 % (1575660)Instructions burned: 117 (million)
% 15.94/2.59 % (1575659)Instruction limit reached!
% 15.94/2.59 % (1575659)------------------------------
% 15.94/2.59 % (1575659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.59 % (1575659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.59 % (1575659)CaDiCaL version: 2.1.3
% 15.94/2.59 % (1575659)Termination reason: Instruction limit
% 15.94/2.59 % (1575659)Termination phase: Saturation
% 15.94/2.59 % (1575659)Time elapsed: 0.063 s
% 15.94/2.59 % (1575659)Peak memory usage: 12 MB
% 15.94/2.59 % (1575659)Instructions burned: 103 (million)
% 15.94/2.59 % TRYING [5]
% 15.94/2.59 % (1575699)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2506218064:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.94/2.59 % (1575698)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4132768483:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.94/2.59 % (1575662)Instruction limit reached!
% 15.94/2.59 % (1575662)------------------------------
% 15.94/2.59 % (1575662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.59 % (1575662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.59 % (1575662)CaDiCaL version: 2.1.3
% 15.94/2.59 % (1575662)Termination reason: Instruction limit
% 15.94/2.59 % (1575662)Termination phase: Saturation
% 15.94/2.59 % (1575662)Time elapsed: 0.105 s
% 15.94/2.59 % (1575662)Peak memory usage: 12 MB
% 15.94/2.59 % (1575662)Instructions burned: 160 (million)
% 15.94/2.59 % (1575710)ott-21_1_sil=16000:fs=off:random_seed=3085333275:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.94/2.59 % TRYING [6]
% 15.94/2.59 % TRYING [6]
% 15.94/2.59 % (1575698)Instruction limit reached!
% 15.94/2.59 % (1575698)------------------------------
% 15.94/2.59 % (1575698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.27 % (1575698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.27 % (1575698)CaDiCaL version: 2.1.3
% 35.10/5.27 % (1575698)Termination reason: Instruction limit
% 35.10/5.27 % (1575698)Termination phase: Saturation
% 35.10/5.27 % (1575698)Time elapsed: 0.082 s
% 35.10/5.27 % (1575698)Peak memory usage: 13 MB
% 35.10/5.27 % (1575698)Instructions burned: 132 (million)
% 35.10/5.27 % (1575725)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3130810761:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 35.10/5.27 % (1575689)Instruction limit reached!
% 35.10/5.27 % (1575689)------------------------------
% 35.10/5.27 % (1575689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.27 % (1575689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.27 % (1575689)CaDiCaL version: 2.1.3
% 35.10/5.27 % (1575689)Termination reason: Instruction limit
% 35.10/5.27 % (1575689)Termination phase: Finite model building constraint generation
% 35.10/5.27 % (1575689)Time elapsed: 0.145 s
% 35.10/5.27 % (1575689)Peak memory usage: 28 MB
% 35.10/5.28 % (1575689)Instructions burned: 716 (million)
% 35.10/5.28 % (1575730)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2698245816:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 35.10/5.28 % TRYING [1]
% 35.10/5.28 % TRYING [2]
% 35.10/5.28 % TRYING [3]
% 35.10/5.28 % TRYING [4]
% 35.10/5.28 % (1575710)Instruction limit reached!
% 35.10/5.28 % (1575710)------------------------------
% 35.10/5.28 % (1575710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575710)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575710)Termination reason: Instruction limit
% 35.10/5.28 % (1575710)Termination phase: Saturation
% 35.10/5.28 % (1575710)Time elapsed: 0.107 s
% 35.10/5.28 % (1575710)Peak memory usage: 11 MB
% 35.10/5.28 % (1575710)Instructions burned: 182 (million)
% 35.10/5.28 % (1575740)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3096134088:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 35.10/5.28 % TRYING [5]
% 35.10/5.28 % TRYING [6]
% 35.10/5.28 % (1575730)Instruction limit reached!
% 35.10/5.28 % (1575730)------------------------------
% 35.10/5.28 % (1575730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575730)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575730)Termination reason: Instruction limit
% 35.10/5.28 % (1575730)Termination phase: Finite model building constraint generation
% 35.10/5.28 % (1575730)Time elapsed: 0.174 s
% 35.10/5.28 % (1575730)Peak memory usage: 23 MB
% 35.10/5.28 % (1575730)Instructions burned: 868 (million)
% 35.10/5.28 % (1575765)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1172811884:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 35.10/5.28 % TRYING [7]
% 35.10/5.28 % (1575725)Instruction limit reached!
% 35.10/5.28 % (1575725)------------------------------
% 35.10/5.28 % (1575725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575725)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575725)Termination reason: Instruction limit
% 35.10/5.28 % (1575725)Termination phase: Saturation
% 35.10/5.28 % (1575725)Time elapsed: 0.308 s
% 35.10/5.28 % (1575725)Peak memory usage: 13 MB
% 35.10/5.28 % (1575725)Instructions burned: 477 (million)
% 35.10/5.28 % (1575767)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2471647172:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 35.10/5.28 % (1575699)Instruction limit reached!
% 35.10/5.28 % (1575699)------------------------------
% 35.10/5.28 % (1575699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575699)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575699)Termination reason: Instruction limit
% 35.10/5.28 % (1575699)Termination phase: Saturation
% 35.10/5.28 % (1575699)Time elapsed: 0.450 s
% 35.10/5.28 % (1575699)Peak memory usage: 16 MB
% 35.10/5.28 % (1575699)Instructions burned: 684 (million)
% 35.10/5.28 % (1575769)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2651930393:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 35.10/5.28 % TRYING [14]
% 35.10/5.28 % (1575765)Instruction limit reached!
% 35.10/5.28 % (1575765)------------------------------
% 35.10/5.28 % (1575765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575765)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575765)Termination reason: Instruction limit
% 35.10/5.28 % (1575765)Termination phase: Finite model building constraint generation
% 35.10/5.28 % (1575765)Time elapsed: 0.339 s
% 35.10/5.28 % (1575765)Peak memory usage: 98 MB
% 35.10/5.28 % (1575765)Instructions burned: 890 (million)
% 35.10/5.28 % (1575779)fmb+10_1_sil=64000:random_seed=723726872:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 35.10/5.28 % TRYING [1]
% 35.10/5.28 % TRYING [2]
% 35.10/5.28 % TRYING [3]
% 35.10/5.28 % TRYING [4]
% 35.10/5.28 % TRYING [5]
% 35.10/5.28 % TRYING [6]
% 35.10/5.28 % (1575767)Instruction limit reached!
% 35.10/5.28 % (1575767)------------------------------
% 35.10/5.28 % (1575767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575767)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575767)Termination reason: Instruction limit
% 35.10/5.28 % (1575767)Termination phase: Saturation
% 35.10/5.28 % (1575767)Time elapsed: 0.588 s
% 35.10/5.28 % (1575767)Peak memory usage: 16 MB
% 35.10/5.28 % (1575767)Instructions burned: 693 (million)
% 35.10/5.28 % (1575788)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2242429230:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 35.10/5.28 % TRYING [20]
% 35.10/5.28 % (1575740)Instruction limit reached!
% 35.10/5.28 % (1575740)------------------------------
% 35.10/5.28 % (1575740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575740)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575740)Termination reason: Instruction limit
% 35.10/5.28 % (1575740)Termination phase: Saturation
% 35.10/5.28 % (1575740)Time elapsed: 0.960 s
% 35.10/5.28 % (1575740)Peak memory usage: 19 MB
% 35.10/5.28 % (1575740)Instructions burned: 1180 (million)
% 35.10/5.28 % (1575791)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2716843398:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 35.10/5.28 % TRYING [8]
% 35.10/5.28 % (1575769)Instruction limit reached!
% 35.10/5.28 % (1575769)------------------------------
% 35.10/5.28 % (1575769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575769)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575769)Termination reason: Instruction limit
% 35.10/5.28 % (1575769)Termination phase: Saturation
% 35.10/5.28 % (1575769)Time elapsed: 0.714 s
% 35.10/5.28 % (1575769)Peak memory usage: 15 MB
% 35.10/5.28 % (1575769)Instructions burned: 880 (million)
% 35.10/5.28 % (1575794)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2719106865:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 35.10/5.28 % TRYING [7]
% 35.10/5.28 % TRYING [8]
% 35.10/5.28 % (1575791)Instruction limit reached!
% 35.10/5.28 % (1575791)------------------------------
% 35.10/5.28 % (1575791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575791)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575791)Termination reason: Instruction limit
% 35.10/5.28 % (1575791)Termination phase: Finite model building constraint generation
% 35.10/5.28 % (1575791)Time elapsed: 0.338 s
% 35.10/5.28 % (1575791)Peak memory usage: 78 MB
% 35.10/5.28 % (1575791)Instructions burned: 920 (million)
% 35.10/5.28 % (1575797)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3419392411:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 35.10/5.28 % TRYING [8]
% 35.10/5.28 % (1575797)Instruction limit reached!
% 35.10/5.28 % (1575797)------------------------------
% 35.10/5.28 % (1575797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575797)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575797)Termination reason: Instruction limit
% 35.10/5.28 % (1575797)Termination phase: Saturation
% 35.10/5.28 % (1575797)Time elapsed: 0.656 s
% 35.10/5.28 % (1575797)Peak memory usage: 22 MB
% 35.10/5.28 % (1575797)Instructions burned: 1473 (million)
% 35.10/5.28 % (1575945)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2774758099:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 35.10/5.28 % TRYING [77]
% 35.10/5.28 % (1575794)Instruction limit reached!
% 35.10/5.28 % (1575794)------------------------------
% 35.10/5.28 % (1575794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575794)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575794)Termination reason: Instruction limit
% 35.10/5.28 % (1575794)Termination phase: Saturation
% 35.10/5.28 % (1575794)Time elapsed: 2.410 s
% 35.10/5.28 % (1575794)Peak memory usage: 18 MB
% 35.10/5.28 % (1575794)Instructions burned: 5131 (million)
% 35.10/5.28 % (1575953)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=642617402:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 35.10/5.28 % TRYING [16]
% 35.10/5.28 % TRYING [9]
% 35.10/5.28 % TRYING [9]
% 35.10/5.28 % (1575953)Instruction limit reached!
% 35.10/5.28 % (1575953)------------------------------
% 35.10/5.28 % (1575953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575953)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575953)Termination reason: Instruction limit
% 35.10/5.28 % (1575953)Termination phase: Finite model building constraint generation
% 35.10/5.28 % (1575953)Time elapsed: 0.726 s
% 35.10/5.28 % (1575953)Peak memory usage: 131 MB
% 35.10/5.28 % (1575953)Instructions burned: 2176 (million)
% 35.10/5.28 % (1575955)ott-2_1_sil=16000:newcnf=on:random_seed=1749844530:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 35.10/5.28 % (1575945)Instruction limit reached!
% 35.10/5.28 % (1575945)------------------------------
% 35.10/5.28 % (1575945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575945)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575945)Termination reason: Instruction limit
% 35.10/5.28 % (1575945)Termination phase: Finite model building constraint generation
% 35.10/5.28 % (1575945)Time elapsed: 2.206 s
% 35.10/5.28 % (1575945)Peak memory usage: 452 MB
% 35.10/5.28 % (1575945)Instructions burned: 6329 (million)
% 35.10/5.28 % (1575788)Instruction limit reached!
% 35.10/5.28 % (1575788)------------------------------
% 35.10/5.28 % (1575788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575788)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575788)Termination reason: Instruction limit
% 35.10/5.28 % (1575788)Termination phase: Finite model building constraint generation
% 35.10/5.28 % (1575788)Time elapsed: 3.394 s
% 35.10/5.28 % (1575788)Peak memory usage: 667 MB
% 35.10/5.28 % (1575788)Instructions burned: 9515 (million)
% 35.10/5.28 % (1575957)ott+10_1_sil=32000:tgt=ground:random_seed=2082538684:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 35.10/5.28 % (1575959)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1805978266:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 35.10/5.28 % TRYING [1]
% 35.10/5.28 % TRYING [2]
% 35.10/5.28 % TRYING [3]
% 35.10/5.28 % TRYING [4]
% 35.10/5.28 % TRYING [5]
% 35.10/5.28 % TRYING [6]
% 35.10/5.28 % (1575657) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1575642-1575657"...
% 35.10/5.28 % (1575657)...printing done.
% 35.10/5.28 % (1575657)Refutation found. Thanks to Tanya!
% 35.10/5.28 % SZS status Unsatisfiable for theBenchmark
% 35.10/5.28 % SZS output start Proof for theBenchmark
% See solution above
% 35.10/5.28 % (1575657)------------------------------
% 35.10/5.28 % (1575657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.10/5.28 % (1575657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.10/5.28 % (1575657)CaDiCaL version: 2.1.3
% 35.10/5.28 % (1575657)Termination reason: Refutation
% 35.10/5.28 % (1575657)Time elapsed: 4.946 s
% 35.10/5.28 % (1575657)Peak memory usage: 65 MB
% 35.10/5.28 % (1575657)Instructions burned: 8210 (million)
% 35.10/5.28 % (1575642)Success in time 5.03 s
% 35.10/5.28 % Vampire exiting
%------------------------------------------------------------------------------